In a number of vibration applications, systems under study are slightly non-linear. Cascade of Hammerstein models conveniently allows one to describe such systems.
The Hammerstein Toolbox provides a simple method based on a phase property of exponential sine sweeps
to estimate the structural elements (Kernels) of such a model from only one measured response of the system.
 M. Rébillat, R. Hennequin, E. Corteel, B.F.G. Katz, "Identification of cascade of Hammerstein models for the description of non-linearities in vibrating devices", Journal of Sound and Vibration, Volume 330, Issue
5, Pages 1018-1038, February 2011.
 A. Novak, L. Simon, F. Kadlec, P. Lotton, "Nonlinear system identification using exponential swept-sine signal", IEEE Transactions on Instrumentation and Measurement, Volume 59, Issue 8, Pages 2220-2229, August 2010.